The Liverpool youngster's call-up to the Euros squad has been criticised.
But Meyler told talkSPORT: "He is good enough, there's no question about that.
"I played with him at Sunderland and I'm surprised that England supporters would even boo him.
"It would never happen in Ireland. Maybe Irish people and English people are different but that's unheard of because whether you like him or not he's going to be an English midfielder in three or four years time and eventually he's going to captain England.
"He's had a tough start because everyone expects world class things of him but he moved to Liverpool on his own and took a month or two to settle in.
"His family knows and his friends know that he is well able to play for Liverpool without a shadow of a doubt. It's like when Lucas played for Liverpool three seasons ago people booed him and gave him a hard time but a year and a half later he became a fans' favourite.
"Jordan needs more time and when he proves himself the Liverpool fans won't even remember his first season."